傾斜機能性圧電平板における応力振動の抑制

抄録

In this study, a one-dimensional dynamic electro-elastic problem in an infinite functionally graded piezoelectric (FGP) thin plate subjected to mechanical and electrical loadings is analyzed by employing the method of characteristics, assuming that material properties vary in the thickness direction according to a power low distribution. Utilizing the electrical constitutive equation and the equation of electrodynamics as well as the electrical initial and boundary conditions, the dielectric flux density is expressed in terms of the displacement at the boundary surface and the applied voltage. It follows that the dynamic electro-elastic field is governed by the elastic constitutive equation and the equation of motion. By introducing the particle velocity which is the partial differentiation of the displacement with respect to the time variable, this problem finally reduces to numerically solving two characteristic equations established on two characteristic lines. Numerical simulation has been carried out for the FGP thin plate composed of PZT-4 and steatite. The effect of the applied voltage on the unsteady oscillation of dynamic stress is investigated for various values of the volume fraction exponent and the applied voltage which completely cancels the unsteady oscillation from the time history of dynamic stress is determined for each volume fraction exponent by using the trial-and-error method.